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9 August, 05:59

Simplify the rational expression (u+5v) : (8v²u²) - (u-6v) : (8v²u²)

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  1. 9 August, 06:16
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    First, note that since the denominators are the same for both factors, we can simply subtract the numerators.

    Numerator:

    (u + 5v) - (u - 6v) = u + 5v - u + 6v = 11v

    Here, be sure to distribute the subtraction sign to both parts of the second factor!

    Denominator:

    8v^2u^2

    Now, combine to get:

    11v / 8v^2u^2

    Both the numerator and denominator have a factor of v that can be cancelled out. Simplify as follows

    11v / 8v^2u^2 = 11 * v / 8vu^2 * v = 11 / 8vu^2 * v/v = 11 / 8vu^2 * 1 = 11 / 8vu^2
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